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Rectangular form of the tangent plane

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Reference no: EM131470709

Consider the plane T tangent to the surface Ω with equation: x^(2/3) + y^(2/3) + z^(2/3) = 1.

Question: Find the sum of the squares of the x-, y-, and z-intercepts of T.  

[Hint: Let P(a, b, c) be on the surface. Then find the rectangular form of the tangent plane. Put it into intercept form to find the intercepts. Then find the sum of their squares, and simplify.]

Reference no: EM131470709

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